Positivity of Lyapunov exponents for a continuous matrix-valued Anderson model

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dc.creatorBoumaza, H.
dc.date2007-03-20
dc.date.accessioned2026-07-07T08:44:24Z
dc.date.available2026-07-07T08:44:24Z
dc.descriptionWe study a continuous matrix-valued Anderson-type model. Both leading Lyapunov exponents of this model are proved to be positive and distinct for all ernergies in $(2,+\infty)$ except those in a discrete set, which leads to absence of absolutely continuous spectrum in $(2,+\infty)$. This result is an improvement of a previous result with Stolz. The methods, based upon a result by Breuillard and Gelander on dense subgroups in semisimple Lie groups, and a criterion by Goldsheid and Margulis, allow for singular Bernoulli distributions.
dc.identifierhttps://arxiv.org/abs/math-ph/0703060
dc.identifierhttp://arxiv.org/abs/math-ph/0703060
dc.identifierMath. Phys. Anal. Geom. 10 (2), 97-122 (2007)
dc.identifierdoi:10.1007/s11040-007-9023-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142645
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titlePositivity of Lyapunov exponents for a continuous matrix-valued Anderson model
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